PreprintEmbedding 3manifolds with circle actions in 4spaceJonathan A. HillmanAbstractWe give constraints on the Seifert invariants of closed orientable 3manifolds M which admit fixedpoint free circle actions and embed in 4space. In particular, the generalized Euler invariant of the orbit fibration is determined up to sign by the base orbifold B unless H_{1}(M) is torsion free, in which case it can take at most one nonzero value (up to sign). No such manifold with base B=S^{2}(a_{1},…,a_{r}) with r odd and Euler invariant 0 embeds in 4space. [This is an extensive revision of a 1998 Research Report.] Keywords: embedding. Euler invariant. linking pairing. Seifert bundle.AMS Subject Classification: Primary 57N10.
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